Generalized differential identities on prime rings and algebras

Abu Zaid Ansari; Faiza Shujat; Ahlam Fallatah

doi:10.3934/math.20231159

journal article Jan 01, 2023

Generalized differential identities on prime rings and algebras

Abu Zaid Ansari Faiza Shujat Ahlam Fallatah

AIMS Mathematics Vol. 8 No. 10 pp. 22758-22765 · American Institute of Mathematical Sciences (AIMS)

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Abstract

<abstract>The goal of this study is to bring out the following conclusion. Let $ R $ be a noncommutative prime ring with $ 2(m+n)! $ torsion freeness and let $ m $ and $ n $ be fixed, non-negative integers and $ d, g $ be Jordan derivations on $ R $. If $ x^{m+n}d(x)+x^mg(x)x^n\in Z(R) $ or $ d(x)x^{m+n}+x^mg(x)x^n\in Z(R) $ or $ x^{n}d(x)x^{m}+x^mg(x)x^n\in Z(R) $ then $ d = g = 0 $ follows for every $ x\in R $.</abstract>

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Details

Published: Jan 01, 2023
Vol/Issue: 8(10)
Pages: 22758-22765

Authors

A

Abu Zaid Ansari

Department of Mathematics, Faculty of Science, Islamic University of Madinah, Saudi Arabia

F

Faiza Shujat

Department of Mathematics, Faculty of Science, Taibah University, Madinah, Saudi Arabia

A

Ahlam Fallatah

Department of Mathematics, Faculty of Science, Taibah University, Madinah, Saudi Arabia

Cite This Article

Abu Zaid Ansari, Faiza Shujat, Ahlam Fallatah (2023). Generalized differential identities on prime rings and algebras. AIMS Mathematics, 8(10), 22758-22765. https://doi.org/10.3934/math.20231159

Generalized differential identities on prime rings and algebras

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